0580/22 Oct/Nov 2023, Question 13: Solving Linear Equations
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks
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The question, in short
Solve an index equation in p using powers of 3, then simplify a fractional power expression involving 32 and x to the 10.
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Part (a) · 2 marks
Given 3³ᵖ × 3²ᵖ = 729, find the value of p.
- 13³ᵖ × 3²ᵖ = 3⁵ᵖ and 729 = 3⁶
- 25p = 6
- 3p = 1.2
Answer1.2
Part (b) · 2 marks
Simplify (32x¹⁰)^(1/5).
- 132^(1/5) = 2 and (x¹⁰)^(1/5) = x²
- 2= 2x²
Answer2x²
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Also searched as: 0580/22/O/N/23 · 0580_w23_qp_22 · 0580 w23 22 · question 13.
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